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add isl_mat_diag
[isl.git] / isl_fold.c
blobdbf0578082d512899b0bde82467d1d0e5d6e44df
1 /*
2 * Copyright 2010 INRIA Saclay
3 *
4 * Use of this software is governed by the GNU LGPLv2.1 license
5 *
6 * Written by Sven Verdoolaege, INRIA Saclay - Ile-de-France,
7 * Parc Club Orsay Universite, ZAC des vignes, 4 rue Jacques Monod,
8 * 91893 Orsay, France
9 */
10
11 #include <isl_map_private.h>
12 #include <isl_union_map_private.h>
13 #include <isl_polynomial_private.h>
14 #include <isl_point_private.h>
15 #include <isl_dim_private.h>
16 #include <isl/lp.h>
17 #include <isl/seq.h>
18 #include <isl_mat_private.h>
19 #include <isl_config.h>
20
21 enum isl_fold isl_fold_type_negate(enum isl_fold type)
22 {
23 switch (type) {
24 case isl_fold_min:
25 return isl_fold_max;
26 case isl_fold_max:
27 return isl_fold_min;
28 case isl_fold_list:
29 return isl_fold_list;
30 }
31
32 isl_die(NULL, isl_error_internal, "unhandled isl_fold type", abort());
33 }
34
35 static __isl_give isl_qpolynomial_fold *qpolynomial_fold_alloc(
36 enum isl_fold type, __isl_take isl_dim *dim, int n)
37 {
38 isl_qpolynomial_fold *fold;
39
40 if (!dim)
41 goto error;
42
43 isl_assert(dim->ctx, n >= 0, goto error);
44 fold = isl_calloc(dim->ctx, struct isl_qpolynomial_fold,
45 sizeof(struct isl_qpolynomial_fold) +
46 (n - 1) * sizeof(struct isl_qpolynomial *));
47 if (!fold)
48 goto error;
49
50 fold->ref = 1;
51 fold->size = n;
52 fold->n = 0;
53 fold->type = type;
54 fold->dim = dim;
55
56 return fold;
57 error:
58 isl_dim_free(dim);
59 return NULL;
60 }
61
62 isl_ctx *isl_qpolynomial_fold_get_ctx(__isl_keep isl_qpolynomial_fold *fold)
63 {
64 return fold ? fold->dim->ctx : NULL;
65 }
66
67 __isl_give isl_dim *isl_qpolynomial_fold_get_dim(
68 __isl_keep isl_qpolynomial_fold *fold)
69 {
70 return fold ? isl_dim_copy(fold->dim) : NULL;
71 }
72
73 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_reset_dim(
74 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_dim *dim)
75 {
76 int i;
77
78 fold = isl_qpolynomial_fold_cow(fold);
79 if (!fold || !dim)
80 goto error;
81
82 for (i = 0; i < fold->n; ++i) {
83 fold->qp[i] = isl_qpolynomial_reset_dim(fold->qp[i],
84 isl_dim_copy(dim));
85 if (!fold->qp[i])
86 goto error;
87 }
88
89 isl_dim_free(fold->dim);
90 fold->dim = dim;
91
92 return fold;
93 error:
94 isl_qpolynomial_fold_free(fold);
95 isl_dim_free(dim);
96 return NULL;
97 }
98
99 int isl_qpolynomial_fold_involves_dims(__isl_keep isl_qpolynomial_fold *fold,
100 enum isl_dim_type type, unsigned first, unsigned n)
101 {
102 int i;
103
104 if (!fold)
105 return -1;
106 if (fold->n == 0 || n == 0)
107 return 0;
108
109 for (i = 0; i < fold->n; ++i) {
110 int involves = isl_qpolynomial_involves_dims(fold->qp[i],
111 type, first, n);
112 if (involves < 0 || involves)
113 return involves;
114 }
115 return 0;
116 }
117
118 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_set_dim_name(
119 __isl_take isl_qpolynomial_fold *fold,
120 enum isl_dim_type type, unsigned pos, const char *s)
121 {
122 int i;
123
124 fold = isl_qpolynomial_fold_cow(fold);
125 if (!fold)
126 return NULL;
127 fold->dim = isl_dim_set_name(fold->dim, type, pos, s);
128 if (!fold->dim)
129 goto error;
130
131 for (i = 0; i < fold->n; ++i) {
132 fold->qp[i] = isl_qpolynomial_set_dim_name(fold->qp[i],
133 type, pos, s);
134 if (!fold->qp[i])
135 goto error;
136 }
137
138 return fold;
139 error:
140 isl_qpolynomial_fold_free(fold);
141 return NULL;
142 }
143
144 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_drop_dims(
145 __isl_take isl_qpolynomial_fold *fold,
146 enum isl_dim_type type, unsigned first, unsigned n)
147 {
148 int i;
149
150 if (!fold)
151 return NULL;
152 if (n == 0)
153 return fold;
154
155 fold = isl_qpolynomial_fold_cow(fold);
156 if (!fold)
157 return NULL;
158 fold->dim = isl_dim_drop(fold->dim, type, first, n);
159 if (!fold->dim)
160 goto error;
161
162 for (i = 0; i < fold->n; ++i) {
163 fold->qp[i] = isl_qpolynomial_drop_dims(fold->qp[i],
164 type, first, n);
165 if (!fold->qp[i])
166 goto error;
167 }
168
169 return fold;
170 error:
171 isl_qpolynomial_fold_free(fold);
172 return NULL;
173 }
174
175 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_insert_dims(
176 __isl_take isl_qpolynomial_fold *fold,
177 enum isl_dim_type type, unsigned first, unsigned n)
178 {
179 int i;
180
181 if (!fold)
182 return NULL;
183 if (n == 0 && !isl_dim_is_named_or_nested(fold->dim, type))
184 return fold;
185
186 fold = isl_qpolynomial_fold_cow(fold);
187 if (!fold)
188 return NULL;
189 fold->dim = isl_dim_insert(fold->dim, type, first, n);
190 if (!fold->dim)
191 goto error;
192
193 for (i = 0; i < fold->n; ++i) {
194 fold->qp[i] = isl_qpolynomial_insert_dims(fold->qp[i],
195 type, first, n);
196 if (!fold->qp[i])
197 goto error;
198 }
199
200 return fold;
201 error:
202 isl_qpolynomial_fold_free(fold);
203 return NULL;
204 }
205
206 static int isl_qpolynomial_cst_sign(__isl_keep isl_qpolynomial *qp)
207 {
208 struct isl_upoly_cst *cst;
209
210 cst = isl_upoly_as_cst(qp->upoly);
211 if (!cst)
212 return 0;
213
214 return isl_int_sgn(cst->n) < 0 ? -1 : 1;
215 }
216
217 static int isl_qpolynomial_aff_sign(__isl_keep isl_set *set,
218 __isl_keep isl_qpolynomial *qp)
219 {
220 enum isl_lp_result res;
221 isl_vec *aff;
222 isl_int opt;
223 int sgn = 0;
224
225 aff = isl_qpolynomial_extract_affine(qp);
226 if (!aff)
227 return 0;
228
229 isl_int_init(opt);
230
231 res = isl_set_solve_lp(set, 0, aff->el + 1, aff->el[0],
232 &opt, NULL, NULL);
233 if (res == isl_lp_error)
234 goto done;
235 if (res == isl_lp_empty ||
236 (res == isl_lp_ok && !isl_int_is_neg(opt))) {
237 sgn = 1;
238 goto done;
239 }
240
241 res = isl_set_solve_lp(set, 1, aff->el + 1, aff->el[0],
242 &opt, NULL, NULL);
243 if (res == isl_lp_ok && !isl_int_is_pos(opt))
244 sgn = -1;
245
246 done:
247 isl_int_clear(opt);
248 isl_vec_free(aff);
249 return sgn;
250 }
251
252 /* Determine, if possible, the sign of the quasipolynomial "qp" on
253 * the domain "set".
254 *
255 * If qp is a constant, then the problem is trivial.
256 * If qp is linear, then we check if the minimum of the corresponding
257 * affine constraint is non-negative or if the maximum is non-positive.
258 *
259 * Otherwise, we check if the outermost variable "v" has a lower bound "l"
260 * in "set". If so, we write qp(v,v') as
261 *
262 * q(v,v') * (v - l) + r(v')
263 *
264 * if q(v,v') and r(v') have the same known sign, then the original
265 * quasipolynomial has the same sign as well.
266 *
267 * Return
268 * -1 if qp <= 0
269 * 1 if qp >= 0
270 * 0 if unknown
271 */
272 static int isl_qpolynomial_sign(__isl_keep isl_set *set,
273 __isl_keep isl_qpolynomial *qp)
274 {
275 int d;
276 int i;
277 int is;
278 struct isl_upoly_rec *rec;
279 isl_vec *v;
280 isl_int l;
281 enum isl_lp_result res;
282 int sgn = 0;
283
284 is = isl_qpolynomial_is_cst(qp, NULL, NULL);
285 if (is < 0)
286 return 0;
287 if (is)
288 return isl_qpolynomial_cst_sign(qp);
289
290 is = isl_qpolynomial_is_affine(qp);
291 if (is < 0)
292 return 0;
293 if (is)
294 return isl_qpolynomial_aff_sign(set, qp);
295
296 if (qp->div->n_row > 0)
297 return 0;
298
299 rec = isl_upoly_as_rec(qp->upoly);
300 if (!rec)
301 return 0;
302
303 d = isl_dim_total(qp->dim);
304 v = isl_vec_alloc(set->ctx, 2 + d);
305 if (!v)
306 return 0;
307
308 isl_seq_clr(v->el + 1, 1 + d);
309 isl_int_set_si(v->el[0], 1);
310 isl_int_set_si(v->el[2 + qp->upoly->var], 1);
311
312 isl_int_init(l);
313
314 res = isl_set_solve_lp(set, 0, v->el + 1, v->el[0], &l, NULL, NULL);
315 if (res == isl_lp_ok) {
316 isl_qpolynomial *min;
317 isl_qpolynomial *base;
318 isl_qpolynomial *r, *q;
319 isl_qpolynomial *t;
320
321 min = isl_qpolynomial_cst(isl_dim_copy(qp->dim), l);
322 base = isl_qpolynomial_var_pow(isl_dim_copy(qp->dim),
323 qp->upoly->var, 1);
324
325 r = isl_qpolynomial_alloc(isl_dim_copy(qp->dim), 0,
326 isl_upoly_copy(rec->p[rec->n - 1]));
327 q = isl_qpolynomial_copy(r);
328
329 for (i = rec->n - 2; i >= 0; --i) {
330 r = isl_qpolynomial_mul(r, isl_qpolynomial_copy(min));
331 t = isl_qpolynomial_alloc(isl_dim_copy(qp->dim), 0,
332 isl_upoly_copy(rec->p[i]));
333 r = isl_qpolynomial_add(r, t);
334 if (i == 0)
335 break;
336 q = isl_qpolynomial_mul(q, isl_qpolynomial_copy(base));
337 q = isl_qpolynomial_add(q, isl_qpolynomial_copy(r));
338 }
339
340 if (isl_qpolynomial_is_zero(q))
341 sgn = isl_qpolynomial_sign(set, r);
342 else if (isl_qpolynomial_is_zero(r))
343 sgn = isl_qpolynomial_sign(set, q);
344 else {
345 int sgn_q, sgn_r;
346 sgn_r = isl_qpolynomial_sign(set, r);
347 sgn_q = isl_qpolynomial_sign(set, q);
348 if (sgn_r == sgn_q)
349 sgn = sgn_r;
350 }
351
352 isl_qpolynomial_free(min);
353 isl_qpolynomial_free(base);
354 isl_qpolynomial_free(q);
355 isl_qpolynomial_free(r);
356 }
357
358 isl_int_clear(l);
359
360 isl_vec_free(v);
361
362 return sgn;
363 }
364
365 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_fold_on_domain(
366 __isl_keep isl_set *set,
367 __isl_take isl_qpolynomial_fold *fold1,
368 __isl_take isl_qpolynomial_fold *fold2)
369 {
370 int i, j;
371 int n1;
372 struct isl_qpolynomial_fold *res = NULL;
373 int better;
374
375 if (!fold1 || !fold2)
376 goto error;
377
378 isl_assert(fold1->dim->ctx, fold1->type == fold2->type, goto error);
379 isl_assert(fold1->dim->ctx, isl_dim_equal(fold1->dim, fold2->dim),
380 goto error);
381
382 better = fold1->type == isl_fold_max ? -1 : 1;
383
384 if (isl_qpolynomial_fold_is_empty(fold1)) {
385 isl_qpolynomial_fold_free(fold1);
386 return fold2;
387 }
388
389 if (isl_qpolynomial_fold_is_empty(fold2)) {
390 isl_qpolynomial_fold_free(fold2);
391 return fold1;
392 }
393
394 res = qpolynomial_fold_alloc(fold1->type, isl_dim_copy(fold1->dim),
395 fold1->n + fold2->n);
396 if (!res)
397 goto error;
398
399 for (i = 0; i < fold1->n; ++i) {
400 res->qp[res->n] = isl_qpolynomial_copy(fold1->qp[i]);
401 if (!res->qp[res->n])
402 goto error;
403 res->n++;
404 }
405 n1 = res->n;
406
407 for (i = 0; i < fold2->n; ++i) {
408 for (j = n1 - 1; j >= 0; --j) {
409 isl_qpolynomial *d;
410 int sgn;
411 d = isl_qpolynomial_sub(
412 isl_qpolynomial_copy(res->qp[j]),
413 isl_qpolynomial_copy(fold2->qp[i]));
414 sgn = isl_qpolynomial_sign(set, d);
415 isl_qpolynomial_free(d);
416 if (sgn == 0)
417 continue;
418 if (sgn != better)
419 break;
420 isl_qpolynomial_free(res->qp[j]);
421 if (j != n1 - 1)
422 res->qp[j] = res->qp[n1 - 1];
423 n1--;
424 if (n1 != res->n - 1)
425 res->qp[n1] = res->qp[res->n - 1];
426 res->n--;
427 }
428 if (j >= 0)
429 continue;
430 res->qp[res->n] = isl_qpolynomial_copy(fold2->qp[i]);
431 if (!res->qp[res->n])
432 goto error;
433 res->n++;
434 }
435
436 isl_qpolynomial_fold_free(fold1);
437 isl_qpolynomial_fold_free(fold2);
438
439 return res;
440 error:
441 isl_qpolynomial_fold_free(res);
442 isl_qpolynomial_fold_free(fold1);
443 isl_qpolynomial_fold_free(fold2);
444 return NULL;
445 }
446
447 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_add_qpolynomial(
448 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_qpolynomial *qp)
449 {
450 int i;
451
452 if (!fold || !qp)
453 goto error;
454
455 if (isl_qpolynomial_is_zero(qp)) {
456 isl_qpolynomial_free(qp);
457 return fold;
458 }
459
460 fold = isl_qpolynomial_fold_cow(fold);
461 if (!fold)
462 goto error;
463
464 for (i = 0; i < fold->n; ++i) {
465 fold->qp[i] = isl_qpolynomial_add(fold->qp[i],
466 isl_qpolynomial_copy(qp));
467 if (!fold->qp[i])
468 goto error;
469 }
470
471 isl_qpolynomial_free(qp);
472 return fold;
473 error:
474 isl_qpolynomial_fold_free(fold);
475 isl_qpolynomial_free(qp);
476 return NULL;
477 }
478
479 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_add_on_domain(
480 __isl_keep isl_set *dom,
481 __isl_take isl_qpolynomial_fold *fold1,
482 __isl_take isl_qpolynomial_fold *fold2)
483 {
484 int i;
485 isl_qpolynomial_fold *res = NULL;
486
487 if (!fold1 || !fold2)
488 goto error;
489
490 if (isl_qpolynomial_fold_is_empty(fold1)) {
491 isl_qpolynomial_fold_free(fold1);
492 return fold2;
493 }
494
495 if (isl_qpolynomial_fold_is_empty(fold2)) {
496 isl_qpolynomial_fold_free(fold2);
497 return fold1;
498 }
499
500 if (fold1->n == 1 && fold2->n != 1)
501 return isl_qpolynomial_fold_add_on_domain(dom, fold2, fold1);
502
503 if (fold2->n == 1) {
504 res = isl_qpolynomial_fold_add_qpolynomial(fold1,
505 isl_qpolynomial_copy(fold2->qp[0]));
506 isl_qpolynomial_fold_free(fold2);
507 return res;
508 }
509
510 res = isl_qpolynomial_fold_add_qpolynomial(
511 isl_qpolynomial_fold_copy(fold1),
512 isl_qpolynomial_copy(fold2->qp[0]));
513
514 for (i = 1; i < fold2->n; ++i) {
515 isl_qpolynomial_fold *res_i;
516 res_i = isl_qpolynomial_fold_add_qpolynomial(
517 isl_qpolynomial_fold_copy(fold1),
518 isl_qpolynomial_copy(fold2->qp[i]));
519 res = isl_qpolynomial_fold_fold_on_domain(dom, res, res_i);
520 }
521
522 isl_qpolynomial_fold_free(fold1);
523 isl_qpolynomial_fold_free(fold2);
524 return res;
525 error:
526 isl_qpolynomial_fold_free(res);
527 isl_qpolynomial_fold_free(fold1);
528 isl_qpolynomial_fold_free(fold2);
529 return NULL;
530 }
531
532 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_substitute_equalities(
533 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_basic_set *eq)
534 {
535 int i;
536
537 if (!fold || !eq)
538 goto error;
539
540 fold = isl_qpolynomial_fold_cow(fold);
541 if (!fold)
542 return NULL;
543
544 for (i = 0; i < fold->n; ++i) {
545 fold->qp[i] = isl_qpolynomial_substitute_equalities(fold->qp[i],
546 isl_basic_set_copy(eq));
547 if (!fold->qp[i])
548 goto error;
549 }
550
551 isl_basic_set_free(eq);
552 return fold;
553 error:
554 isl_basic_set_free(eq);
555 isl_qpolynomial_fold_free(fold);
556 return NULL;
557 }
558
559 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_gist(
560 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_set *context)
561 {
562 int i;
563
564 if (!fold || !context)
565 goto error;
566
567 fold = isl_qpolynomial_fold_cow(fold);
568 if (!fold)
569 return NULL;
570
571 for (i = 0; i < fold->n; ++i) {
572 fold->qp[i] = isl_qpolynomial_gist(fold->qp[i],
573 isl_set_copy(context));
574 if (!fold->qp[i])
575 goto error;
576 }
577
578 isl_set_free(context);
579 return fold;
580 error:
581 isl_set_free(context);
582 isl_qpolynomial_fold_free(fold);
583 return NULL;
584 }
585
586 #define HAS_TYPE
587
588 #undef PW
589 #define PW isl_pw_qpolynomial_fold
590 #undef EL
591 #define EL isl_qpolynomial_fold
592 #undef EL_IS_ZERO
593 #define EL_IS_ZERO is_empty
594 #undef ZERO
595 #define ZERO zero
596 #undef IS_ZERO
597 #define IS_ZERO is_zero
598 #undef FIELD
599 #define FIELD fold
600
601 #define NO_NEG
602
603 #include <isl_pw_templ.c>
604
605 #undef UNION
606 #define UNION isl_union_pw_qpolynomial_fold
607 #undef PART
608 #define PART isl_pw_qpolynomial_fold
609 #undef PARTS
610 #define PARTS pw_qpolynomial_fold
611
612 #include <isl_union_templ.c>
613
614 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_empty(enum isl_fold type,
615 __isl_take isl_dim *dim)
616 {
617 return qpolynomial_fold_alloc(type, dim, 0);
618 }
619
620 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_alloc(
621 enum isl_fold type, __isl_take isl_qpolynomial *qp)
622 {
623 isl_qpolynomial_fold *fold;
624
625 if (!qp)
626 return NULL;
627
628 fold = qpolynomial_fold_alloc(type, isl_dim_copy(qp->dim), 1);
629 if (!fold)
630 goto error;
631
632 fold->qp[0] = qp;
633 fold->n++;
634
635 return fold;
636 error:
637 isl_qpolynomial_fold_free(fold);
638 isl_qpolynomial_free(qp);
639 return NULL;
640 }
641
642 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_copy(
643 __isl_keep isl_qpolynomial_fold *fold)
644 {
645 if (!fold)
646 return NULL;
647
648 fold->ref++;
649 return fold;
650 }
651
652 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_dup(
653 __isl_keep isl_qpolynomial_fold *fold)
654 {
655 int i;
656 isl_qpolynomial_fold *dup;
657
658 if (!fold)
659 return NULL;
660 dup = qpolynomial_fold_alloc(fold->type,
661 isl_dim_copy(fold->dim), fold->n);
662 if (!dup)
663 return NULL;
664
665 dup->n = fold->n;
666 for (i = 0; i < fold->n; ++i) {
667 dup->qp[i] = isl_qpolynomial_copy(fold->qp[i]);
668 if (!dup->qp[i])
669 goto error;
670 }
671
672 return dup;
673 error:
674 isl_qpolynomial_fold_free(dup);
675 return NULL;
676 }
677
678 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_cow(
679 __isl_take isl_qpolynomial_fold *fold)
680 {
681 if (!fold)
682 return NULL;
683
684 if (fold->ref == 1)
685 return fold;
686 fold->ref--;
687 return isl_qpolynomial_fold_dup(fold);
688 }
689
690 void isl_qpolynomial_fold_free(__isl_take isl_qpolynomial_fold *fold)
691 {
692 int i;
693
694 if (!fold)
695 return;
696 if (--fold->ref > 0)
697 return;
698
699 for (i = 0; i < fold->n; ++i)
700 isl_qpolynomial_free(fold->qp[i]);
701 isl_dim_free(fold->dim);
702 free(fold);
703 }
704
705 int isl_qpolynomial_fold_is_empty(__isl_keep isl_qpolynomial_fold *fold)
706 {
707 if (!fold)
708 return -1;
709
710 return fold->n == 0;
711 }
712
713 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_fold(
714 __isl_take isl_qpolynomial_fold *fold1,
715 __isl_take isl_qpolynomial_fold *fold2)
716 {
717 int i;
718 struct isl_qpolynomial_fold *res = NULL;
719
720 if (!fold1 || !fold2)
721 goto error;
722
723 isl_assert(fold1->dim->ctx, fold1->type == fold2->type, goto error);
724 isl_assert(fold1->dim->ctx, isl_dim_equal(fold1->dim, fold2->dim),
725 goto error);
726
727 if (isl_qpolynomial_fold_is_empty(fold1)) {
728 isl_qpolynomial_fold_free(fold1);
729 return fold2;
730 }
731
732 if (isl_qpolynomial_fold_is_empty(fold2)) {
733 isl_qpolynomial_fold_free(fold2);
734 return fold1;
735 }
736
737 res = qpolynomial_fold_alloc(fold1->type, isl_dim_copy(fold1->dim),
738 fold1->n + fold2->n);
739 if (!res)
740 goto error;
741
742 for (i = 0; i < fold1->n; ++i) {
743 res->qp[res->n] = isl_qpolynomial_copy(fold1->qp[i]);
744 if (!res->qp[res->n])
745 goto error;
746 res->n++;
747 }
748
749 for (i = 0; i < fold2->n; ++i) {
750 res->qp[res->n] = isl_qpolynomial_copy(fold2->qp[i]);
751 if (!res->qp[res->n])
752 goto error;
753 res->n++;
754 }
755
756 isl_qpolynomial_fold_free(fold1);
757 isl_qpolynomial_fold_free(fold2);
758
759 return res;
760 error:
761 isl_qpolynomial_fold_free(res);
762 isl_qpolynomial_fold_free(fold1);
763 isl_qpolynomial_fold_free(fold2);
764 return NULL;
765 }
766
767 __isl_give isl_pw_qpolynomial_fold *isl_pw_qpolynomial_fold_fold(
768 __isl_take isl_pw_qpolynomial_fold *pw1,
769 __isl_take isl_pw_qpolynomial_fold *pw2)
770 {
771 int i, j, n;
772 struct isl_pw_qpolynomial_fold *res;
773 isl_set *set;
774
775 if (!pw1 || !pw2)
776 goto error;
777
778 isl_assert(pw1->dim->ctx, isl_dim_equal(pw1->dim, pw2->dim), goto error);
779
780 if (isl_pw_qpolynomial_fold_is_zero(pw1)) {
781 isl_pw_qpolynomial_fold_free(pw1);
782 return pw2;
783 }
784
785 if (isl_pw_qpolynomial_fold_is_zero(pw2)) {
786 isl_pw_qpolynomial_fold_free(pw2);
787 return pw1;
788 }
789
790 if (pw1->type != pw2->type)
791 isl_die(pw1->dim->ctx, isl_error_invalid,
792 "fold types don't match", goto error);
793
794 n = (pw1->n + 1) * (pw2->n + 1);
795 res = isl_pw_qpolynomial_fold_alloc_(isl_dim_copy(pw1->dim),
796 pw1->type, n);
797
798 for (i = 0; i < pw1->n; ++i) {
799 set = isl_set_copy(pw1->p[i].set);
800 for (j = 0; j < pw2->n; ++j) {
801 struct isl_set *common;
802 isl_qpolynomial_fold *sum;
803 set = isl_set_subtract(set,
804 isl_set_copy(pw2->p[j].set));
805 common = isl_set_intersect(isl_set_copy(pw1->p[i].set),
806 isl_set_copy(pw2->p[j].set));
807 if (isl_set_plain_is_empty(common)) {
808 isl_set_free(common);
809 continue;
810 }
811
812 sum = isl_qpolynomial_fold_fold_on_domain(common,
813 isl_qpolynomial_fold_copy(pw1->p[i].fold),
814 isl_qpolynomial_fold_copy(pw2->p[j].fold));
815
816 res = isl_pw_qpolynomial_fold_add_piece(res, common, sum);
817 }
818 res = isl_pw_qpolynomial_fold_add_piece(res, set,
819 isl_qpolynomial_fold_copy(pw1->p[i].fold));
820 }
821
822 for (j = 0; j < pw2->n; ++j) {
823 set = isl_set_copy(pw2->p[j].set);
824 for (i = 0; i < pw1->n; ++i)
825 set = isl_set_subtract(set, isl_set_copy(pw1->p[i].set));
826 res = isl_pw_qpolynomial_fold_add_piece(res, set,
827 isl_qpolynomial_fold_copy(pw2->p[j].fold));
828 }
829
830 isl_pw_qpolynomial_fold_free(pw1);
831 isl_pw_qpolynomial_fold_free(pw2);
832
833 return res;
834 error:
835 isl_pw_qpolynomial_fold_free(pw1);
836 isl_pw_qpolynomial_fold_free(pw2);
837 return NULL;
838 }
839
840 __isl_give isl_union_pw_qpolynomial_fold *isl_union_pw_qpolynomial_fold_fold_pw_qpolynomial_fold(
841 __isl_take isl_union_pw_qpolynomial_fold *u,
842 __isl_take isl_pw_qpolynomial_fold *part)
843 {
844 uint32_t hash;
845 struct isl_hash_table_entry *entry;
846
847 u = isl_union_pw_qpolynomial_fold_cow(u);
848
849 if (!part || !u)
850 goto error;
851
852 isl_assert(u->dim->ctx, isl_dim_match(part->dim, isl_dim_param, u->dim,
853 isl_dim_param), goto error);
854
855 hash = isl_dim_get_hash(part->dim);
856 entry = isl_hash_table_find(u->dim->ctx, &u->table, hash,
857 &has_dim, part->dim, 1);
858 if (!entry)
859 goto error;
860
861 if (!entry->data)
862 entry->data = part;
863 else {
864 entry->data = isl_pw_qpolynomial_fold_fold(entry->data,
865 isl_pw_qpolynomial_fold_copy(part));
866 if (!entry->data)
867 goto error;
868 isl_pw_qpolynomial_fold_free(part);
869 }
870
871 return u;
872 error:
873 isl_pw_qpolynomial_fold_free(part);
874 isl_union_pw_qpolynomial_fold_free(u);
875 return NULL;
876 }
877
878 static int fold_part(__isl_take isl_pw_qpolynomial_fold *part, void *user)
879 {
880 isl_union_pw_qpolynomial_fold **u;
881 u = (isl_union_pw_qpolynomial_fold **)user;
882
883 *u = isl_union_pw_qpolynomial_fold_fold_pw_qpolynomial_fold(*u, part);
884
885 return 0;
886 }
887
888 __isl_give isl_union_pw_qpolynomial_fold *isl_union_pw_qpolynomial_fold_fold(
889 __isl_take isl_union_pw_qpolynomial_fold *u1,
890 __isl_take isl_union_pw_qpolynomial_fold *u2)
891 {
892 u1 = isl_union_pw_qpolynomial_fold_cow(u1);
893
894 if (!u1 || !u2)
895 goto error;
896
897 if (isl_union_pw_qpolynomial_fold_foreach_pw_qpolynomial_fold(u2,
898 &fold_part, &u1) < 0)
899 goto error;
900
901 isl_union_pw_qpolynomial_fold_free(u2);
902
903 return u1;
904 error:
905 isl_union_pw_qpolynomial_fold_free(u1);
906 isl_union_pw_qpolynomial_fold_free(u2);
907 return NULL;
908 }
909
910 __isl_give isl_pw_qpolynomial_fold *isl_pw_qpolynomial_fold_from_pw_qpolynomial(
911 enum isl_fold type, __isl_take isl_pw_qpolynomial *pwqp)
912 {
913 int i;
914 isl_pw_qpolynomial_fold *pwf;
915
916 if (!pwqp)
917 return NULL;
918
919 pwf = isl_pw_qpolynomial_fold_alloc_(isl_dim_copy(pwqp->dim), type,
920 pwqp->n);
921
922 for (i = 0; i < pwqp->n; ++i)
923 pwf = isl_pw_qpolynomial_fold_add_piece(pwf,
924 isl_set_copy(pwqp->p[i].set),
925 isl_qpolynomial_fold_alloc(type,
926 isl_qpolynomial_copy(pwqp->p[i].qp)));
927
928 isl_pw_qpolynomial_free(pwqp);
929
930 return pwf;
931 }
932
933 int isl_qpolynomial_fold_plain_is_equal(__isl_keep isl_qpolynomial_fold *fold1,
934 __isl_keep isl_qpolynomial_fold *fold2)
935 {
936 int i;
937
938 if (!fold1 || !fold2)
939 return -1;
940
941 if (fold1->n != fold2->n)
942 return 0;
943
944 /* We probably want to sort the qps first... */
945 for (i = 0; i < fold1->n; ++i) {
946 int eq = isl_qpolynomial_plain_is_equal(fold1->qp[i], fold2->qp[i]);
947 if (eq < 0 || !eq)
948 return eq;
949 }
950
951 return 1;
952 }
953
954 __isl_give isl_qpolynomial *isl_qpolynomial_fold_eval(
955 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_point *pnt)
956 {
957 isl_qpolynomial *qp;
958
959 if (!fold || !pnt)
960 goto error;
961 isl_assert(pnt->dim->ctx, isl_dim_equal(pnt->dim, fold->dim), goto error);
962 isl_assert(pnt->dim->ctx,
963 fold->type == isl_fold_max || fold->type == isl_fold_min,
964 goto error);
965
966 if (fold->n == 0)
967 qp = isl_qpolynomial_zero(isl_dim_copy(fold->dim));
968 else {
969 int i;
970 qp = isl_qpolynomial_eval(isl_qpolynomial_copy(fold->qp[0]),
971 isl_point_copy(pnt));
972 for (i = 1; i < fold->n; ++i) {
973 isl_qpolynomial *qp_i;
974 qp_i = isl_qpolynomial_eval(
975 isl_qpolynomial_copy(fold->qp[i]),
976 isl_point_copy(pnt));
977 if (fold->type == isl_fold_max)
978 qp = isl_qpolynomial_max_cst(qp, qp_i);
979 else
980 qp = isl_qpolynomial_min_cst(qp, qp_i);
981 }
982 }
983 isl_qpolynomial_fold_free(fold);
984 isl_point_free(pnt);
985
986 return qp;
987 error:
988 isl_qpolynomial_fold_free(fold);
989 isl_point_free(pnt);
990 return NULL;
991 }
992
993 size_t isl_pw_qpolynomial_fold_size(__isl_keep isl_pw_qpolynomial_fold *pwf)
994 {
995 int i;
996 size_t n = 0;
997
998 for (i = 0; i < pwf->n; ++i)
999 n += pwf->p[i].fold->n;
1000
1001 return n;
1002 }
1003
1004 __isl_give isl_qpolynomial *isl_qpolynomial_fold_opt_on_domain(
1005 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_set *set, int max)
1006 {
1007 int i;
1008 isl_qpolynomial *opt;
1009
1010 if (!set || !fold)
1011 goto error;
1012
1013 if (fold->n == 0) {
1014 isl_dim *dim = isl_dim_copy(fold->dim);
1015 isl_set_free(set);
1016 isl_qpolynomial_fold_free(fold);
1017 return isl_qpolynomial_zero(dim);
1018 }
1019
1020 opt = isl_qpolynomial_opt_on_domain(isl_qpolynomial_copy(fold->qp[0]),
1021 isl_set_copy(set), max);
1022 for (i = 1; i < fold->n; ++i) {
1023 isl_qpolynomial *opt_i;
1024 opt_i = isl_qpolynomial_opt_on_domain(
1025 isl_qpolynomial_copy(fold->qp[i]),
1026 isl_set_copy(set), max);
1027 if (max)
1028 opt = isl_qpolynomial_max_cst(opt, opt_i);
1029 else
1030 opt = isl_qpolynomial_min_cst(opt, opt_i);
1031 }
1032
1033 isl_set_free(set);
1034 isl_qpolynomial_fold_free(fold);
1035
1036 return opt;
1037 error:
1038 isl_set_free(set);
1039 isl_qpolynomial_fold_free(fold);
1040 return NULL;
1041 }
1042
1043 /* Check whether for each quasi-polynomial in "fold2" there is
1044 * a quasi-polynomial in "fold1" that dominates it on "set".
1045 */
1046 static int qpolynomial_fold_covers_on_domain(__isl_keep isl_set *set,
1047 __isl_keep isl_qpolynomial_fold *fold1,
1048 __isl_keep isl_qpolynomial_fold *fold2)
1049 {
1050 int i, j;
1051 int covers;
1052
1053 if (!set || !fold1 || !fold2)
1054 return -1;
1055
1056 covers = fold1->type == isl_fold_max ? 1 : -1;
1057
1058 for (i = 0; i < fold2->n; ++i) {
1059 for (j = 0; j < fold1->n; ++j) {
1060 isl_qpolynomial *d;
1061 int sgn;
1062
1063 d = isl_qpolynomial_sub(
1064 isl_qpolynomial_copy(fold1->qp[j]),
1065 isl_qpolynomial_copy(fold2->qp[i]));
1066 sgn = isl_qpolynomial_sign(set, d);
1067 isl_qpolynomial_free(d);
1068 if (sgn == covers)
1069 break;
1070 }
1071 if (j >= fold1->n)
1072 return 0;
1073 }
1074
1075 return 1;
1076 }
1077
1078 /* Check whether "pwf1" dominated "pwf2", i.e., the domain of "pwf1" contains
1079 * that of "pwf2" and on each cell, the corresponding fold from pwf1 dominates
1080 * that of pwf2.
1081 */
1082 int isl_pw_qpolynomial_fold_covers(__isl_keep isl_pw_qpolynomial_fold *pwf1,
1083 __isl_keep isl_pw_qpolynomial_fold *pwf2)
1084 {
1085 int i, j;
1086 isl_set *dom1, *dom2;
1087 int is_subset;
1088
1089 if (!pwf1 || !pwf2)
1090 return -1;
1091
1092 if (pwf2->n == 0)
1093 return 1;
1094 if (pwf1->n == 0)
1095 return 0;
1096
1097 dom1 = isl_pw_qpolynomial_fold_domain(isl_pw_qpolynomial_fold_copy(pwf1));
1098 dom2 = isl_pw_qpolynomial_fold_domain(isl_pw_qpolynomial_fold_copy(pwf2));
1099 is_subset = isl_set_is_subset(dom2, dom1);
1100 isl_set_free(dom1);
1101 isl_set_free(dom2);
1102
1103 if (is_subset < 0 || !is_subset)
1104 return is_subset;
1105
1106 for (i = 0; i < pwf2->n; ++i) {
1107 for (j = 0; j < pwf1->n; ++j) {
1108 int is_empty;
1109 isl_set *common;
1110 int covers;
1111
1112 common = isl_set_intersect(isl_set_copy(pwf1->p[j].set),
1113 isl_set_copy(pwf2->p[i].set));
1114 is_empty = isl_set_is_empty(common);
1115 if (is_empty < 0 || is_empty) {
1116 isl_set_free(common);
1117 if (is_empty < 0)
1118 return -1;
1119 continue;
1120 }
1121 covers = qpolynomial_fold_covers_on_domain(common,
1122 pwf1->p[j].fold, pwf2->p[i].fold);
1123 isl_set_free(common);
1124 if (covers < 0 || !covers)
1125 return covers;
1126 }
1127 }
1128
1129 return 1;
1130 }
1131
1132 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_morph(
1133 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_morph *morph)
1134 {
1135 int i;
1136 isl_ctx *ctx;
1137
1138 if (!fold || !morph)
1139 goto error;
1140
1141 ctx = fold->dim->ctx;
1142 isl_assert(ctx, isl_dim_equal(fold->dim, morph->dom->dim), goto error);
1143
1144 fold = isl_qpolynomial_fold_cow(fold);
1145 if (!fold)
1146 goto error;
1147
1148 isl_dim_free(fold->dim);
1149 fold->dim = isl_dim_copy(morph->ran->dim);
1150 if (!fold->dim)
1151 goto error;
1152
1153 for (i = 0; i < fold->n; ++i) {
1154 fold->qp[i] = isl_qpolynomial_morph(fold->qp[i],
1155 isl_morph_copy(morph));
1156 if (!fold->qp[i])
1157 goto error;
1158 }
1159
1160 isl_morph_free(morph);
1161
1162 return fold;
1163 error:
1164 isl_qpolynomial_fold_free(fold);
1165 isl_morph_free(morph);
1166 return NULL;
1167 }
1168
1169 enum isl_fold isl_qpolynomial_fold_get_type(__isl_keep isl_qpolynomial_fold *fold)
1170 {
1171 if (!fold)
1172 return isl_fold_list;
1173 return fold->type;
1174 }
1175
1176 enum isl_fold isl_union_pw_qpolynomial_fold_get_type(
1177 __isl_keep isl_union_pw_qpolynomial_fold *upwf)
1178 {
1179 if (!upwf)
1180 return isl_fold_list;
1181 return upwf->type;
1182 }
1183
1184 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_lift(
1185 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_dim *dim)
1186 {
1187 int i;
1188
1189 if (!fold || !dim)
1190 goto error;
1191
1192 if (isl_dim_equal(fold->dim, dim)) {
1193 isl_dim_free(dim);
1194 return fold;
1195 }
1196
1197 fold = isl_qpolynomial_fold_cow(fold);
1198 if (!fold)
1199 goto error;
1200
1201 isl_dim_free(fold->dim);
1202 fold->dim = isl_dim_copy(dim);
1203 if (!fold->dim)
1204 goto error;
1205
1206 for (i = 0; i < fold->n; ++i) {
1207 fold->qp[i] = isl_qpolynomial_lift(fold->qp[i],
1208 isl_dim_copy(dim));
1209 if (!fold->qp[i])
1210 goto error;
1211 }
1212
1213 isl_dim_free(dim);
1214
1215 return fold;
1216 error:
1217 isl_qpolynomial_fold_free(fold);
1218 isl_dim_free(dim);
1219 return NULL;
1220 }
1221
1222 int isl_qpolynomial_fold_foreach_qpolynomial(
1223 __isl_keep isl_qpolynomial_fold *fold,
1224 int (*fn)(__isl_take isl_qpolynomial *qp, void *user), void *user)
1225 {
1226 int i;
1227
1228 if (!fold)
1229 return -1;
1230
1231 for (i = 0; i < fold->n; ++i)
1232 if (fn(isl_qpolynomial_copy(fold->qp[i]), user) < 0)
1233 return -1;
1234
1235 return 0;
1236 }
1237
1238 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_move_dims(
1239 __isl_take isl_qpolynomial_fold *fold,
1240 enum isl_dim_type dst_type, unsigned dst_pos,
1241 enum isl_dim_type src_type, unsigned src_pos, unsigned n)
1242 {
1243 int i;
1244
1245 if (n == 0)
1246 return fold;
1247
1248 fold = isl_qpolynomial_fold_cow(fold);
1249 if (!fold)
1250 return NULL;
1251
1252 fold->dim = isl_dim_move(fold->dim, dst_type, dst_pos,
1253 src_type, src_pos, n);
1254 if (!fold->dim)
1255 goto error;
1256
1257 for (i = 0; i < fold->n; ++i) {
1258 fold->qp[i] = isl_qpolynomial_move_dims(fold->qp[i],
1259 dst_type, dst_pos, src_type, src_pos, n);
1260 if (!fold->qp[i])
1261 goto error;
1262 }
1263
1264 return fold;
1265 error:
1266 isl_qpolynomial_fold_free(fold);
1267 return NULL;
1268 }
1269
1270 /* For each 0 <= i < "n", replace variable "first" + i of type "type"
1271 * in fold->qp[k] by subs[i].
1272 */
1273 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_substitute(
1274 __isl_take isl_qpolynomial_fold *fold,
1275 enum isl_dim_type type, unsigned first, unsigned n,
1276 __isl_keep isl_qpolynomial **subs)
1277 {
1278 int i;
1279
1280 if (n == 0)
1281 return fold;
1282
1283 fold = isl_qpolynomial_fold_cow(fold);
1284 if (!fold)
1285 return NULL;
1286
1287 for (i = 0; i < fold->n; ++i) {
1288 fold->qp[i] = isl_qpolynomial_substitute(fold->qp[i],
1289 type, first, n, subs);
1290 if (!fold->qp[i])
1291 goto error;
1292 }
1293
1294 return fold;
1295 error:
1296 isl_qpolynomial_fold_free(fold);
1297 return NULL;
1298 }
1299
1300 static int add_pwqp(__isl_take isl_pw_qpolynomial *pwqp, void *user)
1301 {
1302 isl_ctx *ctx;
1303 isl_pw_qpolynomial_fold *pwf;
1304 isl_union_pw_qpolynomial_fold **upwf;
1305 uint32_t hash;
1306 struct isl_hash_table_entry *entry;
1307
1308 upwf = (isl_union_pw_qpolynomial_fold **)user;
1309
1310 ctx = pwqp->dim->ctx;
1311 hash = isl_dim_get_hash(pwqp->dim);
1312 entry = isl_hash_table_find(ctx, &(*upwf)->table,
1313 hash, &has_dim, pwqp->dim, 1);
1314 if (!entry)
1315 goto error;
1316
1317 pwf = isl_pw_qpolynomial_fold_from_pw_qpolynomial((*upwf)->type, pwqp);
1318 if (!entry->data)
1319 entry->data = pwf;
1320 else {
1321 entry->data = isl_pw_qpolynomial_fold_add(entry->data, pwf);
1322 if (!entry->data)
1323 return -1;
1324 if (isl_pw_qpolynomial_fold_is_zero(entry->data)) {
1325 isl_pw_qpolynomial_fold_free(entry->data);
1326 isl_hash_table_remove(ctx, &(*upwf)->table, entry);
1327 }
1328 }
1329
1330 return 0;
1331 error:
1332 isl_pw_qpolynomial_free(pwqp);
1333 return -1;
1334 }
1335
1336 __isl_give isl_union_pw_qpolynomial_fold *isl_union_pw_qpolynomial_fold_add_union_pw_qpolynomial(
1337 __isl_take isl_union_pw_qpolynomial_fold *upwf,
1338 __isl_take isl_union_pw_qpolynomial *upwqp)
1339 {
1340 upwf = isl_union_pw_qpolynomial_fold_align_params(upwf,
1341 isl_union_pw_qpolynomial_get_dim(upwqp));
1342 upwqp = isl_union_pw_qpolynomial_align_params(upwqp,
1343 isl_union_pw_qpolynomial_fold_get_dim(upwf));
1344
1345 upwf = isl_union_pw_qpolynomial_fold_cow(upwf);
1346 if (!upwf || !upwqp)
1347 goto error;
1348
1349 if (isl_union_pw_qpolynomial_foreach_pw_qpolynomial(upwqp, &add_pwqp,
1350 &upwf) < 0)
1351 goto error;
1352
1353 isl_union_pw_qpolynomial_free(upwqp);
1354
1355 return upwf;
1356 error:
1357 isl_union_pw_qpolynomial_fold_free(upwf);
1358 isl_union_pw_qpolynomial_free(upwqp);
1359 return NULL;
1360 }
1361
1362 static int compatible_range(__isl_keep isl_dim *dim1, __isl_keep isl_dim *dim2)
1363 {
1364 int m;
1365 m = isl_dim_match(dim1, isl_dim_param, dim2, isl_dim_param);
1366 if (m < 0 || !m)
1367 return m;
1368 return isl_dim_tuple_match(dim1, isl_dim_out, dim2, isl_dim_set);
1369 }
1370
1371 /* Compute the intersection of the range of the map and the domain
1372 * of the piecewise quasipolynomial reduction and then compute a bound
1373 * on the associated quasipolynomial reduction over all elements
1374 * in this intersection.
1375 *
1376 * We first introduce some unconstrained dimensions in the
1377 * piecewise quasipolynomial, intersect the resulting domain
1378 * with the wrapped map and the compute the sum.
1379 */
1380 __isl_give isl_pw_qpolynomial_fold *isl_map_apply_pw_qpolynomial_fold(
1381 __isl_take isl_map *map, __isl_take isl_pw_qpolynomial_fold *pwf,
1382 int *tight)
1383 {
1384 isl_ctx *ctx;
1385 isl_set *dom;
1386 isl_dim *map_dim;
1387 isl_dim *pwf_dim;
1388 unsigned n_in;
1389 int ok;
1390
1391 ctx = isl_map_get_ctx(map);
1392 if (!ctx)
1393 goto error;
1394
1395 map_dim = isl_map_get_dim(map);
1396 pwf_dim = isl_pw_qpolynomial_fold_get_dim(pwf);
1397 ok = compatible_range(map_dim, pwf_dim);
1398 isl_dim_free(map_dim);
1399 isl_dim_free(pwf_dim);
1400 if (!ok)
1401 isl_die(ctx, isl_error_invalid, "incompatible dimensions",
1402 goto error);
1403
1404 n_in = isl_map_dim(map, isl_dim_in);
1405 pwf = isl_pw_qpolynomial_fold_insert_dims(pwf, isl_dim_set, 0, n_in);
1406
1407 dom = isl_map_wrap(map);
1408 pwf = isl_pw_qpolynomial_fold_reset_dim(pwf, isl_set_get_dim(dom));
1409
1410 pwf = isl_pw_qpolynomial_fold_intersect_domain(pwf, dom);
1411 pwf = isl_pw_qpolynomial_fold_bound(pwf, tight);
1412
1413 return pwf;
1414 error:
1415 isl_map_free(map);
1416 isl_pw_qpolynomial_fold_free(pwf);
1417 return NULL;
1418 }
1419
1420 __isl_give isl_pw_qpolynomial_fold *isl_set_apply_pw_qpolynomial_fold(
1421 __isl_take isl_set *set, __isl_take isl_pw_qpolynomial_fold *pwf,
1422 int *tight)
1423 {
1424 isl_map *map;
1425
1426 map = isl_map_from_range(set);
1427 return isl_map_apply_pw_qpolynomial_fold(map, pwf, tight);
1428 }
1429
1430 struct isl_apply_fold_data {
1431 isl_union_pw_qpolynomial_fold *upwf;
1432 isl_union_pw_qpolynomial_fold *res;
1433 isl_map *map;
1434 int tight;
1435 };
1436
1437 static int pw_qpolynomial_fold_apply(__isl_take isl_pw_qpolynomial_fold *pwf,
1438 void *user)
1439 {
1440 isl_dim *map_dim;
1441 isl_dim *pwf_dim;
1442 struct isl_apply_fold_data *data = user;
1443 int ok;
1444
1445 map_dim = isl_map_get_dim(data->map);
1446 pwf_dim = isl_pw_qpolynomial_fold_get_dim(pwf);
1447 ok = compatible_range(map_dim, pwf_dim);
1448 isl_dim_free(map_dim);
1449 isl_dim_free(pwf_dim);
1450
1451 if (ok) {
1452 pwf = isl_map_apply_pw_qpolynomial_fold(isl_map_copy(data->map),
1453 pwf, data->tight ? &data->tight : NULL);
1454 data->res = isl_union_pw_qpolynomial_fold_fold_pw_qpolynomial_fold(
1455 data->res, pwf);
1456 } else
1457 isl_pw_qpolynomial_fold_free(pwf);
1458
1459 return 0;
1460 }
1461
1462 static int map_apply(__isl_take isl_map *map, void *user)
1463 {
1464 struct isl_apply_fold_data *data = user;
1465 int r;
1466
1467 data->map = map;
1468 r = isl_union_pw_qpolynomial_fold_foreach_pw_qpolynomial_fold(
1469 data->upwf, &pw_qpolynomial_fold_apply, data);
1470
1471 isl_map_free(map);
1472 return r;
1473 }
1474
1475 __isl_give isl_union_pw_qpolynomial_fold *isl_union_map_apply_union_pw_qpolynomial_fold(
1476 __isl_take isl_union_map *umap,
1477 __isl_take isl_union_pw_qpolynomial_fold *upwf, int *tight)
1478 {
1479 isl_dim *dim;
1480 enum isl_fold type;
1481 struct isl_apply_fold_data data;
1482
1483 upwf = isl_union_pw_qpolynomial_fold_align_params(upwf,
1484 isl_union_map_get_dim(umap));
1485 umap = isl_union_map_align_params(umap,
1486 isl_union_pw_qpolynomial_fold_get_dim(upwf));
1487
1488 data.upwf = upwf;
1489 data.tight = tight ? 1 : 0;
1490 dim = isl_union_pw_qpolynomial_fold_get_dim(upwf);
1491 type = isl_union_pw_qpolynomial_fold_get_type(upwf);
1492 data.res = isl_union_pw_qpolynomial_fold_zero(dim, type);
1493 if (isl_union_map_foreach_map(umap, &map_apply, &data) < 0)
1494 goto error;
1495
1496 isl_union_map_free(umap);
1497 isl_union_pw_qpolynomial_fold_free(upwf);
1498
1499 if (tight)
1500 *tight = data.tight;
1501
1502 return data.res;
1503 error:
1504 isl_union_map_free(umap);
1505 isl_union_pw_qpolynomial_fold_free(upwf);
1506 isl_union_pw_qpolynomial_fold_free(data.res);
1507 return NULL;
1508 }
1509
1510 __isl_give isl_union_pw_qpolynomial_fold *isl_union_set_apply_union_pw_qpolynomial_fold(
1511 __isl_take isl_union_set *uset,
1512 __isl_take isl_union_pw_qpolynomial_fold *upwf, int *tight)
1513 {
1514 return isl_union_map_apply_union_pw_qpolynomial_fold(uset, upwf, tight);
1515 }
1516
1517 /* Reorder the dimension of "fold" according to the given reordering.
1518 */
1519 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_realign(
1520 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_reordering *r)
1521 {
1522 int i;
1523
1524 fold = isl_qpolynomial_fold_cow(fold);
1525 if (!fold || !r)
1526 goto error;
1527
1528 for (i = 0; i < fold->n; ++i) {
1529 fold->qp[i] = isl_qpolynomial_realign(fold->qp[i],
1530 isl_reordering_copy(r));
1531 if (!fold->qp[i])
1532 goto error;
1533 }
1534
1535 fold = isl_qpolynomial_fold_reset_dim(fold, isl_dim_copy(r->dim));
1536
1537 isl_reordering_free(r);
1538
1539 return fold;
1540 error:
1541 isl_qpolynomial_fold_free(fold);
1542 isl_reordering_free(r);
1543 return NULL;
1544 }
1545
1546 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_mul_isl_int(
1547 __isl_take isl_qpolynomial_fold *fold, isl_int v)
1548 {
1549 int i;
1550
1551 if (isl_int_is_one(v))
1552 return fold;
1553 if (fold && isl_int_is_zero(v)) {
1554 isl_qpolynomial_fold *zero;
1555 isl_dim *dim = isl_dim_copy(fold->dim);
1556 zero = isl_qpolynomial_fold_empty(fold->type, dim);
1557 isl_qpolynomial_fold_free(fold);
1558 return zero;
1559 }
1560
1561 fold = isl_qpolynomial_fold_cow(fold);
1562 if (!fold)
1563 return NULL;
1564
1565 if (isl_int_is_neg(v))
1566 fold->type = isl_fold_type_negate(fold->type);
1567 for (i = 0; i < fold->n; ++i) {
1568 fold->qp[i] = isl_qpolynomial_mul_isl_int(fold->qp[i], v);
1569 if (!fold->qp[i])
1570 goto error;
1571 }
1572
1573 return fold;
1574 error:
1575 isl_qpolynomial_fold_free(fold);
1576 return NULL;
1577 }
1578
1579 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_scale(
1580 __isl_take isl_qpolynomial_fold *fold, isl_int v)
1581 {
1582 return isl_qpolynomial_fold_mul_isl_int(fold, v);
1583 }
Integer set library